Crystal Lab › Prototype structures › Trigonal
LiNiO₂
Trigonal · space group R-3m (No. 166) · Pearson hR4
Symmetry elements and Wyckoff positions (interactive)
LiNiO₂ in R-3m
SettingUnit cell
- Lattice constants
- a = 2.878 Å, b = 2.878 Å, c = 14.190 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 101.8 ų
- Atoms in the conventional cell
- 12 (Li 3, Ni 3, O 6)
- Formula units Z
- 3
- Pearson symbol
- hR4 — hexagonal / trigonal, rhombohedral lattice, 4 atoms per conventional cell
- Symmetry operations
- 36 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li1 | Li | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| Ni2 | Ni | 3b | 3 | 0.0000 | 0.0000 | 0.5000 |
| O3 | O | 6c | 6 | 0.0000 | 0.0000 | 0.2500 |
The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 12 atoms drawn above are these sites multiplied by all 36 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.
How to read the label
ABC2_hR4_166_a_b_c-010: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR4, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Li: 3a; Ni: 3b; O: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
NaNiO₂ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2_hR4_166_a_b_c-010 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.
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